A Lyapunov function for the chemostat with variable yields [Une fonction de Lyapunov pour le chemostat avec des rendements variables.]

摘要

In this Note, we give a global asymptotic stability result for the competition mathematical model between several species in a chemostat, by using a new Lyapunov function. The model includes both monotone and non-monotone response functions, distinct removal rates for the species and variable yields, depending on the concentration of substrate. We obtain, as corollaries of our result, three global stability theorems which were considered in the literature.